Find the prime factorization of number 15400.
Answer
The prime factorization of 15400 is:
$$ 15400 = 2\cdot2\cdot2\cdot5\cdot5\cdot7\cdot11 $$Which is the same as :
$$ 15400 = 2^{3}\cdot5^{2}\cdot7\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 15400 can be written as 10 × 1540. |
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| 10 can be written as 2 × 5. |
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| 1540 can be written as 10 × 154. |
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| 10 can be written as 2 × 5. |
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| 154 can be written as 2 × 77. |
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| 77 can be written as 7 × 11. |
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| The end nodes are the prime factors of the number 15400. |
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